1 citations · 2 across the 6 of their papers we have counts for
7 papers
Power series rings and projectivity
R. -O. Buchweitz, H. Flenner
We show that a formal power series ring over a noetherian ring is not a projective module unless is artinian. However, if is local, then $A[[X]…
Linear free divisors and quiver representations
Ragnar-Olaf Buchweitz, David Mond
Linear free divisors are free divisors, in the sense of K.Saito, with linear presentation matrix (example: normal crossing divisors). Using techniques of deformation theory on repr…
Factoring the Adjoint and Maximal Cohen--Macaulay Modules over the Generic Determinant
Ragnar-Olaf Buchweitz, Graham J. Leuschke
A question of Bergman asks whether the adjoint of the generic square matrix over a field can be factored nontrivially as a product of square matrices. We show that such factorizati…
The adjoint of an even size matrix factors
Graham J. Leuschke, Ragnar-Olaf Buchweitz
We show that the adjoint matrix of a generic square matrix of even size can be factored nontrivially, answering a question of G. Bergman. This note is a preliminary report on work…
Finite Hochschild cohomology without finite global dimension
R. -O. Buchweitz, E. L. Green, D. Madsen +1
Dieter Happel asked the following question: If the -th Hochschild cohomology group of a finite dimensional algebra over a field vanishes for all sufficiently large , is t…
Morita Contexts, Idempotents, and Hochschild Cohomology - with Applications to Invariant Rings -
Ragnar-Olaf Buchweitz
We investigate how to compare Hochschild cohomology of algebras related by a Morita context. Interpreting a Morita context as a ring with distinguished idempotent, the key ingredie…